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• Decimal

Int-to-dec-string-width

Convert an integer into a string with a fixed number of digits.

Signature

(int-to-dec-string-width i width) → str

Arguments

i — Guard (integerp i).

width — Guard (posp width).

Returns

str — Type (stringp str).

Definitions and Theorems

Function: int-to-dec-string-width

(defun int-to-dec-string-width (i width)
 (declare (xargs :guard (and (integerp i) (posp width))))
 (let ((acl2::__function__ 'int-to-dec-string-width))
  (declare (ignorable acl2::__function__))
  (b*
   ((i (mbe :logic (ifix i) :exec i))
    (width (mbe :logic (if (posp width) width 1)
                :exec width))
    (chars
       (if (< i 0)
           (b* ((chars (nat-to-dec-chars (- i))))
             (cons #\-
                   (cond ((<= width (len chars))
                          (nthcdr (- (len chars) width) chars))
                         (t (append (make-list (- width (len chars))
                                               :initial-element #\0)
                                    chars)))))
         (b* ((chars (nat-to-dec-chars i)))
           (cond ((<= width (len chars))
                  (nthcdr (- (len chars) width) chars))
                 (t (append (make-list (- width (len chars))
                                       :initial-element #\0)
                            chars)))))))
   (implode chars))))

Theorem: stringp-of-int-to-dec-string-width

(defthm stringp-of-int-to-dec-string-width
  (b* ((str (int-to-dec-string-width i width)))
    (stringp str))
  :rule-classes :type-prescription)

Theorem: int-to-dec-string-width-nonempty

(defthm int-to-dec-string-width-nonempty
  (not (equal (int-to-dec-string-width i width)
              "")))